Back to Commutative Algebra Seminar: Fall 2015
Commutative Algebra Seminar
Date: Friday, Oct 9, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Alessandro De Stefani
University of Virginia
Title |
F-thresholds of graded rings |
Abstract |
The F-pure threshold, the diagonal F-threshold and the a-invariant are three numerical invariants that can be attached to graded rings of positive characteristic. Hirose, Watanabe, and Yoshida conjectured some relations between these numbers for strongly F-regular rings. We prove their conjecture for a more general class of rings, namely, F-pure rings. Furthermore, we give an interpretation of the F-pure threshold of a standard graded Gorenstein ring in terms of the maximal length of a regular sequence that preserves F-purity at each step. This is joint work with Luis Nunez-Betancourt. |
Commutative Algebra